Processing math: 0%

OIST Representation Theory Seminar

Date

Location

On Zoom

Description

Speaker: Qi Wang, Osaka University

Title: On τ-tilting finiteness of Schur algebras

Abstract: Support \tau-tilting modules are introduced by Adachi, Iyama and Reiten in 2012 as a generalization of classical tilting modules. One of the importance of these modules is that they are bijectively corresponding to many other objects, such as two-term silting complexes and left finite semibricks. Let V be an n-dimensional vector space over an algebraically closed field \mathbb{F} of characteristic p. Then, the Schur algebra S(n,r) is defined as the endomorphism ring \mathsf{End}_{\mathbb{F}G_r}\left ( V^{\otimes r} \right ) over the group algebra \mathbb{F}G_r of the symmetric group G_r. In this talk, we discuss when the Schur algebra S(n,r) has only finitely many pairwise non-isomorphic basic support \tau-tilting modules.

Zoom info can be found on the seminar webpage.

All-OIST Category: 

Subscribe to the OIST Calendar: Right-click to download, then open in your calendar application.